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Finding the Fourth Proportional to 3,876.52, 5,814.78 and 1,686.84

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Solution

The fourth proportional to 3,876.52, 5,814.78 and 1,686.84 is: 2,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.52 : 5,814.78 = 1,686.84 : x
  2. Step 2: Convert to fraction form
    3,876.52/5,814.78 = 1,686.84/x
  3. Step 3: Cross multiply
    3,876.52x = 5,814.78 × 1,686.84
  4. Step 4: Simplify right side
    3,876.52x = 9,808,603.50
  5. Step 5: Solve for x
    x = 9,808,603.50/3,876.52
  6. Step 6: Final answer
    x = 2,530.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.